Parent FunctionsAII.6

FunctionsAt this point you should be very

familiar with linear and absolute value functions.

You should be able to◦Recognize the equation of these

functions◦Recognize the graph of these

functions◦Graph these functions given the

equation◦Write the equation of these functions

given the graphToday you will learn more

functions …

Polynomial FunctionsPolynomial functions are

functions created by adding or subtracting terms with different positive powers of x.

The degree of the function is the highest exponent on x.

There are patterns related to the curves and end behaviors of polynomial functions. More on that in a later lesson.

Polynomial Functions - LinearParent Function: Standard Form: Parent Graph:

Polynomial Functions - QuadraticParent Function: Standard Form: Parent Graph:

Polynomial Functions – Cubic

Parent Function: Standard Form: Parent Graph:

Alternate Shape:

Polynomial Functions - Quartic

Parent Function: Standard Form:

+eParent Graph: Alternate

Shape:

Polynomial Functions - Quintic

Parent Function: Standard Form:

Parent Graph:Alternate Shape:

Polynomial Functions - Sextic

Parent Function: Standard Form:

Parent Graph:Alternate Shape:

Non-Polynomial Functions

Absolute ValueParent Function: Standard Form: Parent Graph:

Square RootParent Function: or Standard Form: Parent Graph:

Cubed RootParent Function: or Standard Form: Parent Graph:

ExponentialParent Function: Standard Form: Parent Graph:

Logarithmic Parent Function: Standard Form: Parent Graph:

Rational Parent Function: or Standard Form: Parent Graph: